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Finding the Fourth Proportional to 8,335.47, 11,499.44 and 7,071.15

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Solution

The fourth proportional to 8,335.47, 11,499.44 and 7,071.15 is: 9,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,335.47 : 11,499.44 = 7,071.15 : x
  2. Step 2: Convert to fraction form
    8,335.47/11,499.44 = 7,071.15/x
  3. Step 3: Cross multiply
    8,335.47x = 11,499.44 × 7,071.15
  4. Step 4: Simplify right side
    8,335.47x = 81,314,229.80
  5. Step 5: Solve for x
    x = 81,314,229.80/8,335.47
  6. Step 6: Final answer
    x = 9,755.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.